Monotone type discrete analogue for the mixed boundary value problem.
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- by V. Thuraisamy PDF
- Math. Comp. 23 (1969), 387-394 Request permission
Abstract:
This paper is concerned with the formulation of finite-difference analogues of mixed boundary value problems for Poisson’s equation. A discrete approximation to the normal derivative is devised such that the matrix of the resulting system is of monotone type. This enables us to prove that the rate of convergence is $O({h^2})$, where h is the mesh constant.References
- James H. Bramble and Bert E. Hubbard, New monotone type approximations for elliptic problems, Math. Comp. 18 (1964), 349–367. MR 165702, DOI 10.1090/S0025-5718-1964-0165702-X
- J. H. Bramble and B. E. Hubbard, Approximation of solutions of mixed boundary value problems for Poisson’s equation by finite differences, J. Assoc. Comput. Mach. 12 (1965), 114–123. MR 171384, DOI 10.1145/321250.321260
- V. Thuraisamy, Approximate solutions for mixed boundary value problems by finite-difference methods, Math. Comp. 23 (1969), 373–386. MR 242390, DOI 10.1090/S0025-5718-1969-0242390-X
- Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 387-394
- MSC: Primary 65.66
- DOI: https://doi.org/10.1090/S0025-5718-1969-0242391-1
- MathSciNet review: 0242391